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Finding the Third Proportional to 634,402 and 934,080

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Solution

The third proportional to 634,402 and 934,080 is: 1,375,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,402 : 934,080 = 934,080 : x
  2. Step 2: Convert to fraction form
    634,402/934,080 = 934,080/x
  3. Step 3: Cross multiply
    634,402x = 934,080 × 934,080
  4. Step 4: Simplify right side
    634,402x = 872,505,446,400
  5. Step 5: Solve for x
    x = 872,505,446,400/634,402
  6. Step 6: Final answer
    x = 1,375,319.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.